CJ on Mathematics and Science
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Navier-Stokes
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Navier-Stokes
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onsdag 9 september 2026
Meaningless Clay Navier-Stokes Problem Solved by AI
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OpenAI announces a proof of existence of a solution to the Navier-Stokes equations (but not its numerical values), which starting from zero...
tisdag 5 mars 2024
2nd Law vs Clay Millennium Problem on Navier-Stokes Equations
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The Clay Institute Millennium Problem on Navier-Stokes equations is introduced as follows: This is the equation which governs the flow of fl...
torsdag 14 november 2019
Solving the Clay Navier-Stokes Problem with Meaningless Mathematics?
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The Clay 2000 Millennium Navier-Stokes problem concerns solutions to the incompressible Navier-Stokes equations: $\frac{\partial u}{\part...
onsdag 27 april 2016
Reformulation of Clay Navier-Stokes Problem Needed 5
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Fefferman concludes the official formulation of the Clay Navier-Stokes Problem with: Let me end with a few words about the significance o...
tisdag 26 april 2016
Reformulation of the Clay Navier-Stokes Problem 4
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The official formulation of the Clay Navier-Stokes Problem by Fefferman includes the following statements (with (A) and (B) global existenc...
torsdag 21 april 2016
Velocity Blow-up to Infinity for Incompressible Euler?
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In an effort to solve the Clay Navier-Stokes problem as formulated by Fefferman, Terence Tao in recent work seeks to construct a solution t...
Reformulation of Clay Navier-Stokes Problem Needed 1
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The formulation of the Clay Millennium Problem about global smoothness of solutions to the incompressible Navier-Stokes equations by Charles...
onsdag 20 april 2016
Turbulent Euler Solutions and the Clay Navier-Stokes Problem 2
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This is a continuation from the previous post: We compute an approximate turbulent solution $U_h$ to the Euler equations using G2 on a giv...
Turbulent Euler Solutions and the Clay Navier-Stokes Problem 1
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Turbulent solutions of the incompressible Navier-Stokes equations with viscosity $\nu >0$ can be characterised as having substantial tur...
fredag 15 april 2016
Counterexample to P = NP with Relation to 2nd Law
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Let me here present the counterexample to P = NP from the previous post in more concise form. We consider the Algorithm of solving the inc...
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